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21220222100 = 22527112779949
BaseRepresentation
bin10011110000110100…
…101110010010010100
32000202212120222021212
4103300310232102110
5321424334101400
613425355000552
71350566624510
oct236064562224
960685528255
1021220222100
118aaa297a40
124142739158
13200242c64c
14105439b140
15842e4d335
hex4f0d2e494

21220222100 has 144 divisors (see below), whose sum is σ = 57623395200. Its totient is φ = 6589555200.

The previous prime is 21220222043. The next prime is 21220222123. The reversal of 21220222100 is 122202212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2127926 + ... + 2137874.

Almost surely, 221220222100 is an apocalyptic number.

21220222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28811697600).

21220222100 is an abundant number, since it is smaller than the sum of its proper divisors (36403173100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220222100 is a wasteful number, since it uses less digits than its factorization.

21220222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10258 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21220222100 its reverse (122202212), we get a palindrome (21342424312).

The spelling of 21220222100 in words is "twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 277 308 350 385 550 554 700 770 1100 1108 1385 1540 1925 1939 2770 3047 3850 3878 5540 6094 6925 7700 7756 9695 9949 12188 13850 15235 19390 19898 21329 27700 30470 38780 39796 42658 48475 49745 60940 69643 76175 85316 96950 99490 106645 109439 139286 152350 193900 198980 213290 218878 248725 278572 304700 348215 426580 437756 497450 533225 547195 696430 766073 994900 1066450 1094390 1392860 1532146 1741075 2132900 2188780 2735975 2755873 3064292 3482150 3830365 5471950 5511746 6964300 7660730 10943900 11023492 13779365 15321460 19151825 19291111 27558730 30314603 38303650 38582222 55117460 60629206 68896825 76607300 77164444 96455555 121258412 137793650 151573015 192911110 212202221 275587300 303146030 385822220 424404442 482277775 606292060 757865075 848808884 964555550 1061011105 1515730150 1929111100 2122022210 3031460300 4244044420 5305055525 10610111050 21220222100